λ
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3,483,546

2 × 3 × 11 × 47 × 1123
Abundant Even Composite

3,483,546 factors as 2 × 3 × 11 × 47 × 1123. Its 32 positive divisors give a proper-divisor sum of 4,285,542, so this integer is abundant. The Collatz stopping time is 190 steps.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 47 × 1123
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,769,088
Proper Divisor Sum 4,285,542
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3483541 ← → #3483547

Radix Representation

Decimal 3483546
Binary 1101010010011110011010 (22 bits)
Octal 0o15223632
Hexadecimal 0x35279A

Divisor Catalog (32)

1 2 3 6 11 22 33 47 66 94 141 282 517 1,034 1,123 1,551 2,246 3,102 3,369 6,738 12,353 24,706 37,059 52,781 74,118 105,562 158,343 316,686 580,591 1,161,182 1,741,773 3,483,546

Collatz Trajectory (190 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

3,483,546 1,741,773 5,225,320 2,612,660 1,306,330 653,165 1,959,496 979,748 489,874 244,937 734,812 367,406 183,703 551,110 275,555 826,666 413,333 1,240,000 620,000 310,000 155,000 77,500 38,750 19,375 58,126 29,063 87,190 43,595 130,786 65,393 196,180 98,090 49,045 147,136 73,568 36,784 18,392 9,196 4,598 2,299 6,898 3,449 10,348 5,174 2,587 7,762 3,881 11,644 5,822 2,911 8,734 4,367 13,102 6,551 19,654 9,827 29,482 14,741 44,224 22,112

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